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Finding the Third Proportional to 501,946 and 754,037

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Solution

The third proportional to 501,946 and 754,037 is: 1,132,734.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,946 : 754,037 = 754,037 : x
  2. Step 2: Convert to fraction form
    501,946/754,037 = 754,037/x
  3. Step 3: Cross multiply
    501,946x = 754,037 × 754,037
  4. Step 4: Simplify right side
    501,946x = 568,571,797,369
  5. Step 5: Solve for x
    x = 568,571,797,369/501,946
  6. Step 6: Final answer
    x = 1,132,734.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.